Accuracy of Difference Schemes in Electromagnetic Applications: A Trefftz Analysis

The article examines local approximation errors of finite-difference schemes in electromagnetic analysis. Despite a long history of the subject, several accuracy-related issues have been overlooked and/or remain controversial. For example, conflicting claims have been made in the literature about th...

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Bibliographic Details
Published inIEEE transactions on magnetics Vol. 57; no. 6; pp. 1 - 4
Main Author Tsukerman, Igor
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Accuracy
Approximation
Dielectrics
Difference schemes
finite difference (FD) time domain
Finite difference method
Finite element analysis
Magnetism
material interfaces
Mathematical analysis
Media
Numerical stability
Power system stability
Stability analysis
Subspaces
Trefftz approximations
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Summary:The article examines local approximation errors of finite-difference schemes in electromagnetic analysis. Despite a long history of the subject, several accuracy-related issues have been overlooked and/or remain controversial. For example, conflicting claims have been made in the literature about the order of Yee-like schemes in the vicinity of slanted or curved material interfaces. Two novel practical methods for comparison of local accuracy of difference schemes are proposed: one makes use of Trefftz test matrices , and the other one relies on a new measure of approximation accuracy in scheme-exact Trefftz subspaces . One particular conclusion is that a loss of accuracy for Yee-like schemes at slanted material boundaries is unavoidable.
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ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2021.3068346